A fuzzy treatment of uncertain Markov decision processes : Average case (Mathematical Decision Making under uncertainty and ambiguity)

A fuzzy treatment of uncertain Markov decision processes : Average case (Mathematical Decision Making under uncertainty and ambiguity)
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不确定马尔可夫决策过程的模糊处理:平均情况(不确定性和模糊性下的数学决策)

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发表时间:
2000
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通讯作者:
Y. Yoshida
Y. Yoshida
中科院分区:
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作者:
M. Kurano;Masami Yausda;J. Nakagami;Y. Yoshida

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本文利用模糊集描述非齐次马尔可夫决策过程的不确定转移矩阵。引入 ν 步收缩属性(称为次要化条件),对于平均情况,我们改进了帕累托最优策略,在某些偏序下最大化平均预期模糊奖励。帕累托最优策略的特征是包含有效集合函数的最优方程的最大解。
In this paper, the uncertain transition matrices for inhomogeneous Markov decision processes are described by use of fuzzy sets. Introducing a ν-step contractive property, called a minorization condition, for the average case, we fined a Pareto optimal policy maximizing the average expected fuzzy rewards under some partial order. The Pareto optimal policies are characterized by maximal solutions of an optimal equation including efficient set-functions.